Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345bf |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
155738144718725625 = 36 · 54 · 72 · 178 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1105720,-447212713] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:878:1] |
Generators of the group modulo torsion |
j |
6193921595708449/6452105625 |
j-invariant |
L |
4.156994147595 |
L(r)(E,1)/r! |
Ω |
0.14723647896676 |
Real period |
R |
2.3527877153627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91035g2 1785c2 |
Quadratic twists by: -3 17 |